414310968 has 48 divisors (see below), whose sum is σ = 1128844080. Its totient is φ = 137272704.

The previous prime is 414310943. The next prime is 414310973. The reversal of 414310968 is 869013414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5205 + ... + 29252.

It is an arithmetic number, because the mean of its divisors is an integer number (23517585).

Almost surely, 2^414310968 is an apocalyptic number.

It is an amenable number.

414310968 is an abundant number, since it is smaller than the sum of its proper divisors (714533112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414310968 is a wasteful number, since it uses less digits than its factorization.

414310968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34636 (or 34629 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 414310968 is about 20354.6301366544. The cubic root of 414310968 is about 745.4905515066.

The spelling of 414310968 in words is "four hundred fourteen million, three hundred ten thousand, nine hundred sixty-eight".